Search a number
-
+
425915728092 = 2233191936611627
BaseRepresentation
bin1100011001010101000…
…11100100000011011100
31111201100210120202121000
412030222203210003130
523434233411244332
6523355112110300
742525405645411
oct6145243440334
91451323522530
10425915728092
111546a23634a8
126a666395390
13312187b70aa
1416885ddc108
15b12bba2b7c
hex632a8e40dc

425915728092 has 192 divisors, whose sum is σ = 1170852390400. Its totient is φ = 133518274560.

The previous prime is 425915728087. The next prime is 425915728093. The reversal of 425915728092 is 290827519524.

425915728092 is a `hidden beast` number, since 42 + 591 + 5 + 7 + 2 + 8 + 0 + 9 + 2 = 666.

It is a super-2 number, since 2×4259157280922 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425915728093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261778983 + ... + 261780609.

Almost surely, 2425915728092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425915728092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585426195200).

425915728092 is an abundant number, since it is smaller than the sum of its proper divisors (744936662308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425915728092 is a wasteful number, since it uses less digits than its factorization.

425915728092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 425915728092 in words is "four hundred twenty-five billion, nine hundred fifteen million, seven hundred twenty-eight thousand, ninety-two".